Pith Number

pith:P4MKL3OU

pith:2015:P4MKL3OUNUHZSKLTPIDQAH5LHP

not attested not anchored not stored refs pending

On the Pythagorean Holes of Certain Graphs

Johan Kok, K.P. Chithra, N.K. Sudev

arxiv:1504.07714 v2 · 2015-04-29 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4MKL3OUNUHZSKLTPIDQAH5LHP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:35:38.071767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f18a5edd46d0f9929737a07001fab3bf2736b7503a30cbb2f5e1b69eb443074

Aliases

arxiv: 1504.07714 · arxiv_version: 1504.07714v2 · doi: 10.48550/arxiv.1504.07714 · pith_short_12: P4MKL3OUNUHZ · pith_short_16: P4MKL3OUNUHZSKLT · pith_short_8: P4MKL3OU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P4MKL3OUNUHZSKLTPIDQAH5LHP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7f18a5edd46d0f9929737a07001fab3bf2736b7503a30cbb2f5e1b69eb443074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94b097b11c932c2b3435be9bb207717f25de31f4ec82fc2c63f53f11fcadea86",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-04-29T03:38:10Z",
    "title_canon_sha256": "a33108e3f0d8e0a4aeb2f2a43dd0e233fa7882d0ea8b05fa24543e09e6c9cb23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07714",
    "kind": "arxiv",
    "version": 2
  }
}